Finding the Third Proportional to 30,338 and 65,644

Step by Step Solution

1. Step 1: Write the proportion equation
   30,338 : 65,644 = 65,644 : x
2. Step 2: Convert to fraction form
   30,338/65,644 = 65,644/x
3. Step 3: Cross multiply
   30,338x = 65,644 × 65,644
4. Step 4: Simplify right side
   30,338x = 4,309,134,736
5. Step 5: Solve for x
   x = 4,309,134,736/30,338
6. Step 6: Final answer
   x = 142,037.53